Finding the Third Proportional to 297,810 and 649,144
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Solution
The third proportional to 297,810 and 649,144 is: 1,414,955.62
Step by Step Solution
- Step 1: Write the proportion equation
297,810 : 649,144 = 649,144 : x - Step 2: Convert to fraction form
297,810/649,144 = 649,144/x - Step 3: Cross multiply
297,810x = 649,144 × 649,144 - Step 4: Simplify right side
297,810x = 421,387,932,736 - Step 5: Solve for x
x = 421,387,932,736/297,810 - Step 6: Final answer
x = 1,414,955.62
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.